Laboratoire Analyse et Modélisation pour la Biologie et l'Environnement

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20062025

most citedIonic transport through a protein nanopore: a Coarse-Grained Molecular Dynamics Study

28 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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12 papers · 1 filter

math.AP2025

Calder{ó}n splitting and weak solutions for Navier-Stokes equations with initial data in weighted L p spaces

Pierre Gilles Lemarié-Rieusset

We show the existence of global weak solutions of the 3D Navier-Stokes equations with initial velocity in the weighted spaces , using Calder{ó}n splitting L p $Φ$ $γ$ $\subset$ L 2…

math.AP2022

Forces for the Navier-Stokes equations and the Koch and Tataru theorem

P. G. Lemarié-Rieusset

We consider the Cauchy problem for the incompressible Navier--Stokes equations on the whole space $R^{3}$ , with initial value $u_{0} \in BMO^{- 1}$ (as in Koch and Ta…

math.AP2022

Non Linear Singular Drifts and Fractional Operators

Diego Chamorro, Stéphane Menozzi

We consider parabolic PDEs associated with fractional type operators drifted by non-linear singular first order terms. When the drift enjoys some boundedness properties in appropri…

math.AP2022

Heat kernel and gradient estimates for kinetic SDEs with low regularity coefficients

P Chaudru de Raynal, S Menozzi, A Pesce +1

We establish heat kernel and gradient estimates for the density of kinetic degenerate Kolmogorov stochastic differentia equations. Our results are established under somehow minimal…

math.AP2020★ 3 cited

Heat kernel of supercritical SDEs with unbounded drifts

Stéphane Menozzi, Zhang Xicheng

Let $α \in (0, 2)$ and $d \in N$ . Consider the following SDE in $R^{d}$ : $d X_{t} = b (t, X_{t}) d t + a (t, X_{t -}) d L_{t}^{(α)}, X_{0} = x,$ where $L^{(α)}$ is a $d…

math.AP2020

Schauder estimates for degenerate Lévy Ornstein-Ulhenbeck operators

Lorenzo Marino

We establish global Schauder estimates for integro-partial differential equations (IPDE) driven by a possibly degenerate Lévy Ornstein-Uhlenbeck operator, both in the elliptic and…

math.AP2020

On the partial regularity theory for the MHD equations

Diego Chamorro, Jiao He

We generalize here the celebrated Partial Regularity Theory of Caffarelli, Kohn and Nirenberg to the MHD equations in the framework of parabolic Morrey spaces. This type of parabol…

math.AP2020★ 2 cited

On the local regularity theory for the MHD equations

D. Chamorro, F. Cortez, Jiao He +1

Local regularity results are obtained for the MHD equations using as global framework the setting of parabolic Morrey spaces. Indeed, by assuming some local boundedness assumptions…

math.AP2019★ 5 cited

Existence of infinite-energy and discretely self-similar global weak solutions for 3D MHD equations

Pedro Gabriel Fernández-Dalgo, Oscar Jarrín

This paper deals with the existence of global weak solutions for 3D MHD equations when the initial data belong to the weighted spaces $L_{w_{γ}}^{2}$ , with $w_{γ} (x) = (1 + ∣ x ∣)^{- γ}$ and $…

math.AP2019★ 3 cited

Interpolation, extrapolation, Morrey spaces and local energy control for the Navier--Stokes equations

Pierre Gilles Lemarié-Rieusset

Barker recently proved new weak-strong uniqueness results for the Navier-Stokes equations based on a criterion involving Besov spaces and a proof through interpolation between Beso…

math.AP2017★ 1 cited

Local stability of energy estimates for the Navier--Stokes equations

Diego Chamorro, Pierre Gilles Lemarié-Rieusset, Kawther Mayoufi

We study the regularity of the weak limit of a sequence of dissipative solutions to the Navier--Stokes equations when no assumptions is made on the behavior of the pressures.

math.AP2015

Collision of almost parallel vortex filaments

Valeria Banica, Erwan Faou, Evelyne Miot

We investigate the occurrence of collisions in the evolution of vortex filaments through a system introduced by Klein, Majda and Damodaran [KMD95] and Zakharov [Z88,Z99]. We first…